Answer:
20
Step-by-step explanation:
hope this helped have a nice day!!
Answer:
- 4096
Step-by-step explanation:
There is a common ratio between consecutive terms of the sequence.
r = - 4 ÷ 2 = 8 ÷ - 4 = - 2
This indicates the sequence is geometric with n th term
= a
where a is the first term and r the common ratio
Here a = 2 and r = - 2 , thus
= 2 × = 2 × - 2048 = - 4096
Hello!
The easiest way to solve for the value of both angles is to reduce the given angle to an acute angle.
Given that both of the angles are located in the second quadrant (90° < x < 180°), we use these reduction formulas: sin(180° - x) = sin x, and cos(180° - x) = -cos x, when x is equal to 150°.
Notice that cos is negative while sin is positive. In the first quadrant, sine is always positive and while in the fourth quadrant, cosine is always positive while sine is not.
sin(180° - 150) = sin 30 = 1/2 (using the unit circle)
cos(180° - 150) = -cos 30 = -√3/2 (using the unit circle)
<u>Final answers</u>:
- sin 150° = 1/2
- cos 150° =
*Credits go to https://www.mathsisfun.com for the photo*
<span>If I have a bolt that has a diameter of 1.125 inches and a hole that's 1.300 inches with a tolerance of +/- 0.025 inches, what's the larger even tolerance I can have on the bolt to ensure it will pass through the hole? Answer: +/- 0.150 inches.</span>
When we are given a line cutting diagonally from one corner of a rectangle to the opposite corner, we are given two triangles.
300ft
____
| /|
| / |
| / |
| / |400ft
| / |
| / |
|/ |
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*not to scale
Now, using the right-angle trigonometry rule, we can find the hypotenuse (the diagonal line) which represents the footpath.
a^2 + b^2 = c^2
{where a is one side length, b is another side length, and c is the hypotenuse}
Thus, we make c the subject of the equation and substitute the other known values:
c^2 = 400^2 + 300^2
= 160,000 + 90,000
= 250,000
Now we move the 'squared' (^2) from the left hand side to the right hand side. When moving it across the equal sign (=) the result becomes the 'root' of itself:
c = _/250,000
= 500
Therefore, the length of the diagonal path is 500ft.